Chapter 14: Optical Parametric Oscillators

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1 Qunum Oc f Phnc n Olcnc hn n, Cnll Un Ch : Ocl Pmc Ocll. Inucn In h Ch w wll cu n cl mc cll. A mc cll lm lk l. Th ffnc h h cl n n h c cm n fm uln n mum u fm nnln cl mum whch h h cn h h 3 cl nnln. Cn n cl c h u w cl m, m n m, wh fqunc n, cl, n cnn cn nn-ln mum. M cn nc mc n fm m u mul wn cnn, cu n Ch. Th c um wh chn lh h fqunc f m. If h mc n f m cm qul h c l hn l hn num uln h m fqunc cn ul u n h c n. Th cll mc clln. In h Ch, w wll cu n mc cll.. Hmlnn n Hn Equn Th Hmlnn, nclun h cn nnln,, H Th c lfm f m hn n f m hn. Th fn c lfm u culn f h c m wh h wu. Th Hn qun f m, nclun wu culn,, n n n n n n H, Ouu = Pum C

2 Qunum Oc f Phnc n Olcnc hn n, Cnll Un n n Th m hn cmn u f h c c h qun, n u n u Th qun f m, n n H, n n nc h nu n h fqunc cnnuu w chn, w h, n n wh un: /c h flu f um hn fqunc cmn n h c fm h wu, n h h f h um. N h fllwn, ' ' ' n n n n n n n n.3 m-clcl lun f On W f fn lun lcn h qun f h u cn wh h lu. W um, Tkn h f h qun n h u cn w n, * In, w mu h,

3 Qunum Oc f Phnc n Olcnc hn n, Cnll Un lun f M : Af n h h hn f h cn qun, n cn n n m f, n hn n cn uu h lu n h f qun, * Nw, ju w n h c f h l, f w w h cml num n hn fn c, c n hn h qun f cn wn, V H, V V, c c n < h > h nc n, h lu f cn h n n h cml, ln whch h nl V h h mnmum lu. Th h f h nl ff nn n h nh f h um. Whn, 6 h nl h nl mnmum. Whn, 3

4 Qunum Oc f Phnc n Olcnc hn n, Cnll Un 6 h nl h w mnm, h ccu h m nn- lu f u ff n h lu f h nl, 6 6 Th umn 6 cll h hhl umn h, 6 h Whn h, n h nl h w mnm, h lu f cn cn n n f h w mnm. W wll um h n h mnmum wh chn. If h lu f hn w cn w, h h h f f Th fl nh lw hhl, u nc wh h umn hhl. lun f M : In, l, Thn n h qun,, whch cn wn, h h f f nc wh h umn lw hhl, u f lu nnn f h umn hhl. In,

5 Qunum Oc f Phnc n Olcnc hn n, Cnll Un. Phcl Inn f h lun Mn fu f mc clln ml h f l. Th llu lkn h qun f h hn num n m n, W u, m h qun, * W cn n qun f h hn num n m, c Th f m n h ck n h h hn n c l n h cn m c h mc n u mul wn cnn. N h h n n n h num f um hn n h c. Th n mmum whn n hf h h f h m fl cqu h mum lu n. Blw hhl, whn, h n l hn h l, n hf. A hhl, h n qul h l, Th ln cn u fn h hhl umn, h h 6 A hhl, ju lk n l, h n cnn c h l. nc h n mn h lu f, qulnl, h num f hn n m, h num f hn n m mn f h hhl lu n whn h umn nc h hhl umn h. Thf, hhl, h..5 Qunum lucun n N T u h qunum f h lh cmn u f n cl mc cll, w n h fl fllw, 5

6 Qunum Oc f Phnc n Olcnc hn n, Cnll Un 6 wh,,,.5. On lw Thhl n qun l n h C: W f cn h c lw hhl. W h, h Th ln qun f h cm, n, hn, n n n n Th qun cn l c nn fn h fllwn mn qu quu flucun, h h Much lw hhl.. f h, h flucun n h quu qul, c. A h umn nc n h hhl ch, h flucun n n quu nc n h flucun n h h quu c. nc, 6 6 h h qunum f m n h c n qu w-hn chn.

7 Qunum Oc f Phnc n Olcnc hn n, Cnll Un 7 l u h C: Th fl u h c n h m h fl n h c. cll h, n n u n n u Nc h h fl u h c l cn f h flc cuum flucun l m n h lf hn n h qun. Th quu f h u n fl fn fllw, u u,,,,,, T fn h fl u h c, wk n h fqunc mn. W h qun f h fl quu n h c n h fqunc mn n u h ln, n n n, h h Th quu f h fl u h c hf,

8 Qunum Oc f Phnc n Olcnc hn n, Cnll Un 8 h h u h h u Th cl n f h n n h w quu n h fl u h c, h h u u h h u u Th fllwn n hul n n h n: Whn h, h cl n f h n n h w quu n h uu h cnn funcn f h fqunc n qul. /V /V

9 Qunum Oc f Phnc n Olcnc hn n, Cnll Un u A h, h lw fqunc cl n f h n n h quu cm u l n h lw fqunc cl n f h n n h quu cm u mll much mll hn. Thf, lw fqunc flucun n h quu u qu h n f h lw fqunc flucun n h quu, whch mlf. cl n nml /V cl n nml /V u Th nwh whch h lw fqunc flucun qu n h quu uhl cn uhl h n f h c hn lfm. fqunc l hn h n f h c hn lfm, h n n h uu fl nll u h flc cuum flucun n hf h cl n f h n f h h quu qul..5. On Thhl A hhl w h, h h n h mc n f m qul h c l, A f, w um, wh,,, 9

10 Qunum Oc f Phnc n Olcnc hn n, Cnll Un uun h n n h qun f h fl, n n n Th quu f h c fl fn,. W h fllwn qun f h n quu, n n n n n n n n n wh, n n n, fn, mn n uc wh h m cln n cmmun ln h n uc n. N h hhl, h quu flucun f h um fqunc n h nl fqunc cul. W cn l h f w qun n h fqunc mn,

11 Qunum Oc f Phnc n Olcnc hn n, Cnll Un n n n n Th quu f h uu fl, n n n n n n u mll h h quu f h uu fl cn l fun, n n n n u Th cl n f h quu n cn fun fm h n. Nl, h uln n cmlc. Th culn wn h um fqunc n h nl fqunc quu hhl, n h uln cn nu f h fqunc n funcn, ul n nnc n h quu n cl n fqunc n, n

12 Qunum Oc f Phnc n Olcnc hn n, Cnll Un In h mlf quu, h lw fqunc ~DC n, whch w much l hn n hhl, ch n h lm f n umn whn. mll n h nu quu, h lw fqunc ~DC n, whch w much mll hn n hhl, l ch n h lm,

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